Two positive solutions for one-dimensional $p$-Laplacian with a singular weight

Ryuji Kajikiya, Yong-Hoon Lee, Inbo Sim

Abstract


We investigate a bifurcation problem for one-dimensional $p$-Laplace
equation with a singular weight under Dirichlet boundary condition.
Using super-subsolution method and mountain pass lemma, we prove the
existence of at least two positive solutions, at least one positive
solution and no positive solution according to the range of a
bifurcation parameter.

Keywords


p-Laplace equation; singular weight; bifurcation; positive solutions; super-subsolution; mountain pass lemma

Full Text:

FULL TEXT

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism